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Finding the Third Proportional to 186,781.50 and 412,813.13

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Solution

The third proportional to 186,781.50 and 412,813.13 is: 912,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,781.50 : 412,813.13 = 412,813.13 : x
  2. Step 2: Convert to fraction form
    186,781.50/412,813.13 = 412,813.13/x
  3. Step 3: Cross multiply
    186,781.50x = 412,813.13 × 412,813.13
  4. Step 4: Simplify right side
    186,781.50x = 170,414,676,172.27
  5. Step 5: Solve for x
    x = 170,414,676,172.27/186,781.50
  6. Step 6: Final answer
    x = 912,374.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.